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Finding the Fourth Proportional to 6,291.96, 8,683.09 and 3,774.17

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Solution

The fourth proportional to 6,291.96, 8,683.09 and 3,774.17 is: 5,208.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291.96 : 8,683.09 = 3,774.17 : x
  2. Step 2: Convert to fraction form
    6,291.96/8,683.09 = 3,774.17/x
  3. Step 3: Cross multiply
    6,291.96x = 8,683.09 × 3,774.17
  4. Step 4: Simplify right side
    6,291.96x = 32,771,470.06
  5. Step 5: Solve for x
    x = 32,771,470.06/6,291.96
  6. Step 6: Final answer
    x = 5,208.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.